SPECTRAL CHARACTERISTICS OF RANDOM MODULATED WAVES

Abstract

The spectral characteristics of random modulated waves are investigated with particular emphasis on the determination of power density spectra of sinusoids that are frequency modulated by bandpass Gaussian noise. Pertinent parts of the theory of random processes necessary for spectral analysis are reviewed, and a general formulation of the problem of determining spectral characteristics of random modulated waves is given. Limiting cases of large and small modulation indices are discussed, and a technique is developed for obtaining useful approximations of FM by band-pass noise spectra. These results are verified by digital computations and experimental measurements. Finally, spectra resulting from FM by the combination of band-pass noise and a sinusoid, and simultaneous AM by low-pass noise and FM by band-pass noise are investigated.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0275761

Entities

People

  • L. K. Lauderdale

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aircrafts
  • Data Science
  • Delta Functions
  • Distribution Functions
  • Frequency
  • Frequency Modulation
  • Gaussian Noise
  • Modulation
  • Power Series
  • Power Spectra
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Spectra
  • Spectral Lines
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Electronics Engineering
  • Phased Array Antenna Design.
  • Statistical inference.